کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899405 | 1631544 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the general solution and hyperstability of the general radical quintic functional equation in quasi-β-Banach spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The goal of this paper is to study the general solution of the following general radical quintic functional equationf(ax5+by55)=rf(x)+sf(y) for f a mapping from the field of real numbers into a vector space, where a,b,r,s are fixed nonzero reals. Also, we prove the generalized hyperstability results for the general radical quintic functional equation by using the fixed point theorem (cf. Dung and Hang (2018) [15], Theorem 2.1) in quasi-β-Banach spaces. Namely, we show, under some weak natural assumptions, functions satisfying the above equation approximately (in some sense) must be actually solutions to it.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 1, 1 October 2018, Pages 733-748
Journal: Journal of Mathematical Analysis and Applications - Volume 466, Issue 1, 1 October 2018, Pages 733-748
نویسندگان
Iz-iddine EL-Fassi,